The design of an electronic circuit for a toaster calls for a 100-ohm resistor and a 250-ohm resistor connected in series so that their resistances add. The resistance of a 100-ohm resistor in a randomly selected toaster follows a Normal distribution with mean 100 ohms and standard deviation 2.5 ohms. The resistance of a 250-ohm resistor in a randomly selected toaster follows a Normal distribution with mean 250 ohms and standard deviation 2.8 ohms. The resistances and are independent.
What is the shape, center, and variability of the total resistance of the two components in series for a randomly selected toaster?
The total resistance follows a Normal distribution with mean = 350 ohms and standard deviation = 5.3 ohms.
The total resistance follows a uniform distribution with mean = 350 ohms and standard deviation = 3.754 ohms.
The total resistance follows a uniform distribution with mean = 350 ohms and standard deviation = 5.3 ohms.
The total resistance follows a Normal distribution with mean = 350 ohms and standard deviation = 2.302 ohms.
The total resistance follows a Normal distribution with mean = 350 ohms and standard deviation = 3.754 ohms.
